4098301440 has 80 divisors (see below), whose sum is σ = 13101781968. Its totient is φ = 1092878336.

The previous prime is 4098301429. The next prime is 4098301451. The reversal of 4098301440 is 441038904.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4098301429) and next prime (4098301451).

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 259137 + ... + 274496.

Almost surely, 2^4098301440 is an apocalyptic number.

4098301440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4098301440 is an abundant number, since it is smaller than the sum of its proper divisors (9003480528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4098301440 is an equidigital number, since it uses as much as digits as its factorization.

4098301440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533659 (or 533643 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 4098301440 is about 64017.9774750812. The cubic root of 4098301440 is about 1600.2996105591.

The spelling of 4098301440 in words is "four billion, ninety-eight million, three hundred one thousand, four hundred forty".